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Finding the Fourth Proportional to 6,749.09, 9,322.83 and 6,120.33

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Solution

The fourth proportional to 6,749.09, 9,322.83 and 6,120.33 is: 8,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.09 : 9,322.83 = 6,120.33 : x
  2. Step 2: Convert to fraction form
    6,749.09/9,322.83 = 6,120.33/x
  3. Step 3: Cross multiply
    6,749.09x = 9,322.83 × 6,120.33
  4. Step 4: Simplify right side
    6,749.09x = 57,058,796.13
  5. Step 5: Solve for x
    x = 57,058,796.13/6,749.09
  6. Step 6: Final answer
    x = 8,454.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.